Order these numbers from least to greatest 113/20, 6.74, 5.722, 5 7/10

To order these numbers from least to greatest, we need to express them all in the same format—let's convert everything to decimal form.

1. \( \frac{113}{20} = 5.65 \)
2. \( 6.74 \) (already in decimal form)
3. \( 5.722 \) (already in decimal form)
4. \( 5 \frac{7}{10} = 5.7 \)

Now, we have the numbers:

- \( 5.65 \)
- \( 6.74 \)
- \( 5.722 \)
- \( 5.7 \)

Next, we can order these from least to greatest:

\[ 5.65, 5.7, 5.722, 6.74 \]

### Final answer:
The numbers in order from least to greatest are:

\[ \frac{113}{20}, 5 \frac{7}{10}, 5.722, 6.74 \]

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Would you like more details or have any questions?

Here are 5 related questions to deepen your understanding:
1. How do you convert improper fractions to decimals?
2. What is the decimal representation of \( \frac{7}{10} \)?
3. How do you compare decimal numbers accurately?
4. How can you convert decimals back into fractions?
5. Can two different fractions represent the same decimal value?

**Tip:** When comparing numbers with different formats (fractions, decimals), always convert them to a consistent format (like decimals) for accurate comparison.

Learn how to order numbers from least to greatest by converting fractions and decimals to a consistent format. This example uses 113/20, 6.74, 5.722, and 5 7/10, and is perfect for students in Grades 5-7 exploring decimal and fraction comparison.

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